. In an SIUE Campus Lottery drawing, a basket is filled with 1,999 lottery ticke
ID: 3340148 • Letter: #
Question
. In an SIUE Campus Lottery drawing, a basket is filled with 1,999 lottery tickets plus one ticket that has the winning number for a prize of S500, a brand new Lexus and 1000 gallons of free gas. The lottery host will draw the tickets one at a time, to check and see if one of them has the winning number. If a ticket does not have the winning number, the host will put it back in the basket. What is the probability that at least 275 tickets will be drawn before some lucky student wins these three incredible prizes?Explanation / Answer
The probability of winning the prize on any draw is given as: = 1/2000 = 0.0005
The probability that at least 275 tickets will be drawn before some student wins these three incredible prizes is computed as:
= Probability that there was no prize drawn in the first 274 tickets drawn
= (1 - 0.0005)274
= 0.8719
Therefore 0.8719 is the required probability here.
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